Coupling charge-exchange vibrations to nucleons in a relativistic framework: effect on Gamow-Teller transitions and beta-decay half-lives

Abstract

The nuclear response theory for isospin-transfer modes in the relativistic particle-vibration coupling framework is extended to include coupling of single nucleons to isospin-flip (charge-exchange) phonons, in addition to the usual neutral vibrations. This new coupling introduces dynamical pion and rho-meson exchange, beyond the Hartree-Fock approximation, up to infinite order. We investigate the impact of this new mechanism on the Gamow-Teller response of a few doubly-magic neutron-rich nuclei, namely ${}^{48}$Ca, ${}^{78}$Ni, ${}^{132}$Sn and ${}^{208}$Pb. It is found that the coupling to isospin-flip vibrations can have a non negligible impact on the strength distribution and quenching of the giant resonance, globally improving the agreement with the experimental data. The corresponding beta-decay half-lives of ${}^{78}$Ni and ${}^{132}$Sn are also calculated, and found to be decreased by a factor $\sim 2$ by the inclusion of the new phonons.

arXiv comment6 pages, 5 figures, v2: accepted version

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Cited by in corpus (22)

• Gamow-Teller strength in ${}^{48}$Ca and ${}^{78}$Ni with the charge-exchange subtracted second random-phase approximation
• Time-reversed particle-vibration loops and nuclear Gamow-Teller response
• Toward an accurate strongly-coupled many-body theory within the equation of motion framework
• Temperature dependence of nuclear spin-isospin response and beta decay in hot astrophysical environments
• Gamow-Teller excitations at finite temperature: Competition between pairing and temperature effects
• Equation of Motion Method to strongly correlated Fermi systems and Extended RPA approaches
• Nuclear Dipole Response in the Finite-Temperature Relativistic Time Blocking Approximation
• Impact of complex many-body correlations on electron capture in thermally excited nuclei around ${}^{78}$Ni
• Relativistic approach to the nuclear breathing mode
• Many-body correlations in nuclear superfluidity
• Microscopic response theory for strongly-coupled superfluid fermionic systems
• Nuclear response in a finite-temperature relativistic framework
• Experimental Constraint on Stellar Electron-Capture Rates from the ${}^{88}\text{Sr}(t,{}^3\text{He}+\gamma ){}^{88}\text{Rb}$ reaction at 115 MeV/u
• Quenching of Gamow-Teller strengths and two particle -- two hole configurations
• Particle-vibration coupling for giant resonances beyond the diagonal approximation
• Competition between allowed and first-forbidden $\beta$ decay in $r$-process waiting-point nuclei within a relativistic beyond-mean-field approach
• Nuclear Shell Structure in a Finite-Temperature Relativistic Framework
• Temperature evolution of the nuclear shell structure and the dynamical nucleon effective mass
• Calculations for nuclear matter and finite nuclei within and beyond energy--density--functional theories through interactions guided by effective field theory
• Theory of nuclear collective vibrations
• Recent applications of the subtracted second RPA method
• Nuclear response at zero and finite temperature